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Note that the computational study of Lie algebras has been developed throughout these last four decades. Since the seventies of the 20th century, several authors have used algorithms to study the structure of Lie algebras (see , for instance). Moreover, in recent papers on this subject authors have even turned to specialized computational packages, like MAGMA (see ) or GAP (see ) for instance. This is the reason why we are dealing Lie algebras by means of computational methods. 2 Preliminaries For a general overview on Lie algebras and Lie groups, the reader can consult reference , in which the method to construct the Lie algebra associated with a Lie group (the linearization of a Lie group) can be consulted too.
Beguelin, J. Dongan'a, W. Jiang, R. Manchek and V. S. Sunderam, PVM: Parallel Virtual Machine, MIT Press, 1994. O. Box 9000, 2300 PA Leiden, The Netherlands Lecture Series on Computer and Computational Sciences Volume 8, 2007, pp. 264 Video Encoding Quality Through Optimised Initial Rate Derivation Andrew Armstrong 1 Steven Beesley, Christos Grecos Electronic and Electrical Engineering Loughborough University Leicestershire, UK Received 10 May, 2006; accepted in revised form 15 June, 2006 Abstract: Streaming video quality is dependant entirely on the bit-rates chosen to encode and transmit it over networked environments.
A Lie subgroup of some Lie group H n ) . To compute these laws, we have constructed a computational algorithm which can be implemented in any symbolic computation package, although we have particularly used MAPLE V© to do it. It constitutes the main aim of this paper. The order n of the matrices in ~n is going to be the unique input data needed to obtain the expression of its law. Note that the computational study of Lie algebras has been developed throughout these last four decades. Since the seventies of the 20th century, several authors have used algorithms to study the structure of Lie algebras (see , for instance).